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Finding the Third Proportional to 2,254,403,722 and 3,623,942,193

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Solution

The third proportional to 2,254,403,722 and 3,623,942,193 is: 5,825,468,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254,403,722 : 3,623,942,193 = 3,623,942,193 : x
  2. Step 2: Convert to fraction form
    2,254,403,722/3,623,942,193 = 3,623,942,193/x
  3. Step 3: Cross multiply
    2,254,403,722x = 3,623,942,193 × 3,623,942,193
  4. Step 4: Simplify right side
    2,254,403,722x = 13,132,957,018,205,648,896
  5. Step 5: Solve for x
    x = 13,132,957,018,205,648,896/2,254,403,722
  6. Step 6: Final answer
    x = 5,825,468,122.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.